Multiply 20 by 37. This is 740. Divide this by 2, this is 370. She will donate $370 to charity
Answer:
B.alternative hypothesis
Step-by-step explanation:
In this case, the null hypothesis is that 45% of internet providers currently offer fiber optic internet in the United States.
The claim that the proportion of fiber optic internet providers is different from 45% is an alternative hypothesis since it directly contradicts the null hypothesis presented.
The answer is B. alternative hypothesis
Answer:
x = 2 cm
y = 2 cm
A(max) = 4 cm²
Step-by-step explanation: See Annex
The right isosceles triangle has two 45° angles and the right angle.
tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x
A(r) = x* y
Area of the rectangle as a function of x
A(x) = x * ( 4 - x ) A(x) = 4*x - x²
Tacking derivatives on both sides of the equation:
A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0
2*x = 4
x = 2 cm
And y = 4 - 2 = 2 cm
The rectangle of maximum area result to be a square of side 2 cm
A(max) = 2*2 = 4 cm²
To find out if A(x) has a maximum in the point x = 2
We get the second derivative
A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2
Part A:
To get the interest of 1 year
Multiply 20,000 by 5% or 0.05
You get $1,000
Thats the amount for 1 year, now to get for 4 years, multiply 1,000, by 4
She pays $4,000 in interest
Part B:
If she pays it off in 2 years, instead of 4 years, she will pay an interest of $2,000, divide 4 by 2
Part C:
This is the same as part b, she saves $2,000
Hope this helps
-GoldenWolfX